Results 31 to 40 of about 48,383 (208)

On the generalized Miura transformation [PDF]

Physics Letters B, 1993
14 pages, LATEX, Preprint KUL-TF-92 ...
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Soliton equations and the zero curvature condition in noncommutative geometry [PDF]

, 1996
Familiar nonlinear and in particular soliton equations arise as zero curvature conditions for GL(1,R) connections with noncommutative differential calculi. The Burgers equation is formulated in this way and the Cole-Hopf transformation for it attains the
Baehr H C, Burgers J M, Cole J D, Crampin M, Dimakis A, Dimakis A, Dimakis A, Dimakis A, Dimakis A, Dimakis A, Dimakis A, Drazin P G, Faddeev L D, Grauel A, Hopf E, Miura R M, Wilson G   +16 more
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Justification of the NLS Approximation for the KdV Equation Using the Miura Transformation

Advances in Mathematical Physics, 2011
It is the purpose of this paper to give a simple proof of the fact that solutions of the KdV equation can be approximated via solutions of the NLS equation.
Guido Schneider
doaj   +1 more source

New negative grade solitonic sector for supersymmetric KdV and mKdV hierarchies

Nuclear Physics B
A systematic construction for supersymmetric negative graded (non-local) flows for mKdV and KdV based on sl(2,1) with a principal gradation is proposed in this paper.
Y.F. Adans, A.R. Aguirre, J.F. Gomes, G.V. Lobo, A.H. Zimerman   +4 more
doaj   +1 more source

Bäcklund Transformations for Nonlinear Differential Equations and Systems

Axioms, 2019
In this work, new Bäcklund transformations (BTs) for generalized Liouville equations were obtained. Special cases of Liouville equations with exponential nonlinearity that have a multiplier that depends on the independent variables and first-order ...
Tatyana V. Redkina, Robert G. Zakinyan, Arthur R. Zakinyan, Olesya B. Surneva, Olga S. Yanovskaya   +4 more
doaj   +1 more source

Rational Approximate Symmetries of KdV Equation

, 2003
We construct one-parameter deformation of the Dorfman Hamiltonian operator for the Riemann hierarchy using the quasi-Miura transformation from topological field theory.
Chang J H, Chang Jen-Hsu, Dorfman I, Dorfman I, Dubrovin B, Jen-Hsu Chang, Kodama Y, Krichever I M, Lorenzoni P, Magri F, Olver P J, Olver P J, Strachan I A B, Tsarev S P   +13 more
core   +1 more source

A Combinatorial Description of the Dormant Miura Transformation

Bulletin of the Iranian Mathematical Society, 2023
A dormant generic Miura $\mathfrak{sl}_2$-oper is a flat $\mathrm{PGL}_2$-bundle over an algebraic curve in positive characteristic equipped with some additional data. In the present paper, we give a combinatorial description of dormant generic Miura $\mathfrak{sl}_2$-opers on a totally degenerate curve.
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The Critical Point of Unoriented Random Surfaces with a Non-Even Potential

, 1992
The discrete model of the real symmetric one-matrix ensemble is analyzed with a cubic interaction. The partition function is found to satisfy a recursion relation that solves the model.
Martín-Delgado, M. A.
core   +1 more source

A matrix Miura transform

Journal of Geometry and Physics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The matrix-extended W 1 + ∞ $$ {\mathcal{W}}_{1+\infty } $$ algebra

Journal of High Energy Physics, 2019
We construct a quadratic basis of generators of matrix-extended W 1 + ∞ $$ {\mathcal{W}}_{1+\infty } $$ using a generalization of the Miura transformation.
Lorenz Eberhardt, Tomáš Procházka
doaj   +1 more source